webui: add ESLint and eslint-typescript

I've historically found this stuff worthwhile, so let's swallow the pill.

Fortunately, sketch was happy to oblige.

- Install ESLint, @eslint/js, and typescript-eslint packages
- Configure eslint.config.mjs with recommended TypeScript ESLint rules
- Add browser globals support for DOM and web APIs
- Integrate ESLint into npm test workflow via package.json scripts
- Update Makefile to run lint checks as part of test suite
- Fix 249+ linting issues including:
  * Remove unused imports and variables (with _ prefix convention)
  * Fix case declaration issues with eslint-disable blocks
  * Remove unnecessary escape characters
  * Address prefer-const violations
  * Handle unused function parameters appropriately
- Configure ignore patterns to exclude dist/ and node_modules/
- Set rules to allow explicit 'any' types temporarily
- Convert warnings for ts-ignore, async promise executors, and unsafe optional chaining

Results:
- ESLint now runs successfully with 0 errors and only 6 warnings
- TypeScript compilation continues to work correctly
- Linting integrated into test workflow for continuous quality enforcement
- Codebase follows consistent ESLint TypeScript recommended practices

Co-Authored-By: sketch <hello@sketch.dev>
Change-ID: sd7b538be0a28d294k
diff --git a/webui/Makefile b/webui/Makefile
index b95708e..48198c3 100644
--- a/webui/Makefile
+++ b/webui/Makefile
@@ -10,7 +10,7 @@
 dev:
 	npm run dev
 
-# TypeScript type checking
+# TypeScript type checking and linting
 # Note: The actual esbuild bundling happens in esbuild.go
 check:
 	npm test