Upgrade eslint (#1014)

It's apparently forced now to use the eslint.config.js instead of
.eslintrc

It got more strict with requiring the underscore on unused vars like
`catch(_err)` , but that was all

Closes #1012
Closes #995
Closes #992

## Launch Checklist

<!-- Thanks for the PR! Feel free to add or remove items from the
checklist. -->


 - [ ] Briefly describe the changes in this PR.
 - [ ] Link to related issues.
- [ ] Include before/after visuals or gifs if this PR includes visual
changes.
 - [ ] Write tests for all new functionality.
 - [ ] Add an entry to `CHANGELOG.md` under the `## main` section.

tsconfig.json

@@ -22,6 +22,7 @@
       "noFallthroughCasesInSwitch": true
     },
     "include": ["src", "cypress/e2e"],
+    "exclude": ["dist"],
     "references": [{ "path": "./tsconfig.node.json" }],
     // TODO: Remove when issue is resolved https://github.com/cypress-io/cypress/issues/27448
     "ts-node": {