[bronze-ff]

Closes #752.

This picks up #932 by @amaralthalesalves. Its author closed it to leave the feature to the maintainers, and the branch was left up for anyone to continue. The commit credits them as co-author.

What it does

Both pad paths cut each stick axis at XInput's 7849 (about 24%): pad_sdl.c's stick_value and nn_hid.c's XInput pads_read. Both now go through one function, hos_stick_axis(v, zone) in nn_hid.c. A new Stick dead zone row on the Controls tab picks the threshold: Default (24%), 5%, 10%, 15%, 20% or 30%.

• At Default the output is the same as before for every input on both paths. An ini without the key reads as 0, which is today's behaviour.
• The cut stays per axis, and only the threshold changes. The game's own dead zone still applies after it.
• The row is saved as stick_dead_zone by its name. It is preset_exempt, like the other controls rows.

Changes from #932, needed for current main

• Option id 10, not 18. Since the motion rows came in, 18 is HOS_OPT_GYRO, so Insert menu: Stick dead zone (Default 24%, 5%–30%), one cut for SDL and XInput pads (#752) #932's id would have read the gyro switch. 10 sits beside the other controls' ids (4 to 9). It is a plain number like those, so test_rumble_menu's duplicate-id check still parses it. No open PR uses 10: feat: Audio tab in the Insert menu with Volume and Mute in background #1270 takes 27 and 28.
• The row uses the new Row layout (hint, restart, preset_exempt).
• tests/test_stick_dead_zone.py is Insert menu: Stick dead zone (Default 24%, 5%–30%), one cut for SDL and XInput pads (#752) #932's test, adapted to the row layout and to option 10. It also checks that the row is preset_exempt and that no HOS_OPT_ enum takes 10.

Validation

On CachyOS (GCC 16, Clang 23, RTX 5060, Hyprland/Wayland), at main 7dbdcdc:

• tests/test_stick_dead_zone.py fails on main without this change and passes with it, with gcc/g++ and with clang/clang++. It covers all 65,536 inputs on both paths: Default is the old cut, the five other thresholds are exact, and the ini parsing and labels are right.
• tests/run_all.py reports 168 passed and 1 failed. The failure is nx2/test_nup_read_name.py, which needs zstandard, missing here.
• In the game, a virtual USB Xbox Series controller opened the menu and went to Controls, where Stick dead zone shows < Default (24%) >. Right set it to 5% and saved stick_dead_zone=1, and Left brought it back to Default. The other controls rows in the ini were unchanged.

Not tested: the XInput path on Windows, a physical controller, and how the game feels with each threshold.

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