button 2 emulation

I have an external keyboard+touchpad combination, see report in:

External keyboard/touchpad combination E2710

The TP gives with one finger tap button 1 and with two finger tap it gives button 3, but I need button 2 for cut&paste. I asked the AI which gives wrong the hint

purism@pureos:~$ gsettings set org.gnome.desktop.peripherals.touchpad tapping-button-map 'lmr'
No such key “tapping-button-map”

But the keys available are only:

purism@pureos:~$ gsettings list-keys org.gnome.desktop.peripherals.touchpad
tap-button-map
click-method
edge-scrolling-enabled
disable-while-typing
two-finger-scrolling-enabled
send-events
speed
tap-and-drag
natural-scroll
middle-click-emulation
left-handed
tap-to-click
tap-and-drag-lock

What should be the correct solution?

Would this help: gsettings-desktop-schemas/schemas/org.gnome.desktop.peripherals.gschema.xml.in at master · GNOME/gsettings-desktop-schemas · GitHub ?

Table
Schema Key Type Default Description
org.gnome.desktop.peripherals touchpad Child schema Touchpad settings
org.gnome.desktop.peripherals keyboard Child schema Keyboard settings
org.gnome.desktop.peripherals mouse Child schema Mouse settings
org.gnome.desktop.peripherals trackball Child schema Trackball settings
org.gnome.desktop.peripherals tablet Child schema Tablet settings
org.gnome.desktop.peripherals touchscreen Child schema Touchscreen settings
org.gnome.desktop.peripherals.touchpad edge-scrolling-enabled b false Enable edge scrolling when supported.
org.gnome.desktop.peripherals.touchpad two-finger-scrolling-enabled b true Enable two-finger scrolling when supported.
org.gnome.desktop.peripherals.touchpad disable-while-typing b true Disable the touchpad while typing.
org.gnome.desktop.peripherals.touchpad tap-to-click b false Enable mouse clicks by tapping the touchpad.
org.gnome.desktop.peripherals.touchpad tap-button-map GDesktopTouchpadTapButtonMap 'default' Map one-, two-, and three-finger taps to mouse buttons.
org.gnome.desktop.peripherals.touchpad tap-and-drag b true Enable tap-and-drag.
org.gnome.desktop.peripherals.touchpad tap-and-drag-lock b false Keep dragging active briefly after lifting the finger.
org.gnome.desktop.peripherals.touchpad send-events GDesktopDeviceSendEvents 'enabled' Define when the touchpad is enabled.
org.gnome.desktop.peripherals.touchpad left-handed GDesktopTouchpadHandedness 'mouse' Set touchpad button orientation.
org.gnome.desktop.peripherals.touchpad speed d 0 Touchpad pointer speed. Range: -1 to 1.
org.gnome.desktop.peripherals.touchpad natural-scroll b true Enable natural/reverse scrolling.
org.gnome.desktop.peripherals.touchpad click-method GDesktopTouchpadClickMethod 'fingers' Select the software-emulated click method.
org.gnome.desktop.peripherals.touchpad middle-click-emulation b false Enable middle-click emulation with simultaneous left and right clicks.
org.gnome.desktop.peripherals.keyboard repeat b true Enable keyboard key repeat.
org.gnome.desktop.peripherals.keyboard repeat-interval u 30 Delay between key repeats, in milliseconds.
org.gnome.desktop.peripherals.keyboard delay u 500 Initial key-repeat delay, in milliseconds.
org.gnome.desktop.peripherals.keyboard remember-numlock-state b true Remember the NumLock LED state between sessions.
org.gnome.desktop.peripherals.keyboard numlock-state b false Store the remembered NumLock state.
org.gnome.desktop.peripherals.mouse left-handed b false Swap the left and right mouse buttons.
org.gnome.desktop.peripherals.mouse speed d 0 Mouse pointer speed. Range: -1 to 1.
org.gnome.desktop.peripherals.mouse natural-scroll b false Enable natural/reverse scrolling.
org.gnome.desktop.peripherals.mouse accel-profile GDesktopPointerAccelProfile 'default' Select the mouse acceleration profile.
org.gnome.desktop.peripherals.mouse middle-click-emulation b false Enable middle-click emulation with simultaneous left and right clicks.
org.gnome.desktop.peripherals.tablet display as ["", "", ""] Deprecated tablet output mapping. Use output instead.
org.gnome.desktop.peripherals.tablet output as ["", "", ""] EDID mapping in the format [vendor, product, serial].
org.gnome.desktop.peripherals.tablet mapping GDesktopTabletMapping 'absolute' Define how tablet input affects the pointer.
org.gnome.desktop.peripherals.tablet area ad [0, 0, 0, 0] Dead-area padding for left, right, top, and bottom sides, in percentages.
org.gnome.desktop.peripherals.tablet keep-aspect b false Match the tablet area to the output aspect ratio.
org.gnome.desktop.peripherals.tablet left-handed b false Enable left-handed tablet orientation.
org.gnome.desktop.peripherals.tablet.stylus pressure-curve ai [0, 0, 100, 100] Set the stylus pressure curve as x1, y1, x2, y2.
org.gnome.desktop.peripherals.tablet.stylus eraser-pressure-curve ai [0, 0, 100, 100] Set the eraser pressure curve as x1, y1, x2, y2.
org.gnome.desktop.peripherals.tablet.stylus button-action GDesktopStylusButtonAction 'default' Configure the primary stylus-button action.
org.gnome.desktop.peripherals.tablet.stylus secondary-button-action GDesktopStylusButtonAction 'default' Configure the secondary stylus-button action.
org.gnome.desktop.peripherals.tablet.stylus tertiary-button-action GDesktopStylusButtonAction 'default' Configure the tertiary stylus-button action.
org.gnome.desktop.peripherals.tablet.pad-button action GDesktopPadButtonAction 'none' Configure the action triggered by pressing a pad button.
org.gnome.desktop.peripherals.tablet.pad-button keybinding s '' Keyboard shortcut for custom pad-button actions.
org.gnome.desktop.peripherals.touchscreen display as ["", "", ""] Deprecated touchscreen output mapping. Use output instead.
org.gnome.desktop.peripherals.touchscreen output as ["", "", ""] EDID mapping in the format [vendor, product, serial].
org.gnome.desktop.peripherals.trackball scroll-wheel-emulation-button i 0 Mouse-wheel emulation button. 0 disables the feature; range: 024.
org.gnome.desktop.peripherals.trackball accel-profile GDesktopPointerAccelProfile 'default' Select the trackball acceleration profile.
org.gnome.desktop.peripherals.trackball middle-click-emulation b false Enable middle-click emulation with simultaneous left and right clicks.

Just tap-button-map perhaps?