Restructure API documentation into organized sections (pydata#10540)

Co-authored-by: Ian Hunt-Isaak <[email protected]>
Co-authored-by: Claude <[email protected]>

Author: 3 people

.gitignore

@@ -70,8 +70,12 @@ asv_bench/pkgs
 # xarray specific
 doc/_build
 doc/generated/
+doc/api/generated/
 xarray/tests/data/*.grib.*.idx
 
+# Claude Code
+.claude/
+
 # Sync tools
 Icon*