chore: add eslint to check()

[overbalance]

What problem is this solving?

The local check script only ran tsc, so eslint issues weren't caught until CI.

Short description of changes

• Add eslint to the check script so it runs alongside tsc locally
• Remove redundant dist/ path from check:dist (config already specifies targets)

Testing

• npm run check from packages/web-sdk/

[github-actions]

Chrome DevTools Protocol Tracing (Script: 113.38ms, Heap: 14.35MB)

	Number of Requests	Size of Requests	Script Duration	Task Duration	Heap Used Size
Requests	+3 requests	+30.00 KB
Page Loaded			+16.71 ms	+3.59 ms	+1.02 MB
Generate 100 fetch requests			+23.55 ms	+105.50 ms	+1.66 MB
Generate 100 XHR requests			+42.37 ms	+128.71 ms	+1.98 MB
Click 100 buttons and generate 100 logs			+20.76 ms	+24.15 ms	+3.28 MB
Throw a 100 exceptions			+2.41 ms	+21.88 ms	+2.91 MB
End Session			+7.58 ms	+19.09 ms	+3.50 MB
Total	+3 requests	+30.00 KB	+113.38 ms	+302.92 ms	+14.35 MB

Lighthouse (Script Eval: 54.97ms)

	Difference	Description
Total Blocking Time	0 ms	Difference in Total Blocking Time: Sum of all time periods between FCP and Time to Interactive, when task length exceeded 50ms, expressed in milliseconds. Learn more about the Total Blocking Time metric.
Main Thread Time	+76.24 ms	Difference in Main Thread Time: Consider reducing the time spent parsing, compiling and executing JS. You may find delivering smaller JS payloads helps with this. Learn how to minimize main-thread work
Script Evaluation Time	+54.97 ms	Difference in Script Evaluation Time: Consider reducing the time spent parsing, compiling, and executing JS. You may find delivering smaller JS payloads helps with this. Learn how to reduce Javascript execution time.

Platform Tests (vite-7 es2015 gzip: 66.28KB)

vite-6 Platform Tests

	Total Uncompressed Size	Total Gzip Size
vite-6 - es2015	+186.31 KB	+66.33 KB

vite-7 Platform Tests

	Total Uncompressed Size	Total Gzip Size
vite-7 - es2015	+186.31 KB	+66.28 KB

webpack-5 Platform Tests

	Total Uncompressed Size	Total Gzip Size
webpack-5 - es2015	+136.17 KB	+49.26 KB