cmux NEXT: remove New Worktree from the composer location bar

TE
6d ago
+59-33

Leo, 2026-10-31: "WHO THE F*** PUT FING WORKTREE ON THERE" / "OURS IS FING STUFF" / "STUPID".

This successor carries the exact reviewed head of #29663 after its original coordinator provenance became unlandable. The bar above the cmux NEXT composer now holds only the project and machine pickers; New Worktree remains available from the folder menu.

The carried commits remove the standalone New Worktree control and its handler, update environment picker interactions and gallery plays to use the folder menu, and cover the location bar and folder-menu behavior in tests. No product changes were added beyond the original ask.

Takes back #29059: Leo’s 2026-10-31 ask explicitly removes New Worktree from the location bar while preserving the folder-menu action.

Design spec: composer location strip (design/composer.md).

Carries #29663 at exact head 2b0e8475052e0a207a36386864360496cb31edae.

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