[E2E] Fix config file conflict

[gaojude]

Background

1. next start finds a next.config upwards in the file system from the current directory
2. /test/integration/telemetry test outputs a next.config to the E2E root directory
3. Tests run in parallel in CI
4. This is Part 2 of (E2E) Log which config file is used for next start #73105

Problem

After /test/integration/telemetry generates the config at the root but before it completes to clean it up, other tests might be running and kicking off next start which happens to locate the config generated by /test/integration/telemetry, since it was misplaced at the root. (This PR fixes it by placing it at the project itself)

Notably, /test/integration/telemetry generates a config with module.exports = { output: "export" }, so when conflict occurs, next start would exit with error like:

Error: "next start" does not work with "output: export" configuration. Use "npx serve@latest out" instead.

https://github.com/vercel/next.js/actions/runs/12272870280/job/34244194091?pr=73322

[ijjk]

Tests Passed

[ijjk]

Stats from current PR

Default Build

General

	vercel/next.js canary	vercel/next.js jude/extraneous-config	Change
buildDuration	29.1s	27.7s	N/A
buildDurationCached	24.4s	22.5s	N/A
nodeModulesSize	409 MB	409 MB	✓
nextStartRea..uration (ms)	795ms	720ms	N/A

Client Bundles (main, webpack)

	vercel/next.js canary	vercel/next.js jude/extraneous-config	Change
1187-HASH.js gzip	50.7 kB	50.7 kB	N/A
8276.HASH.js gzip	169 B	168 B	N/A
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main-HASH.js gzip	34 kB	34 kB	N/A
webpack-HASH.js gzip	1.71 kB	1.71 kB	N/A
Overall change	0 B	0 B	✓

Legacy Client Bundles (polyfills)

	vercel/next.js canary	vercel/next.js jude/extraneous-config	Change
polyfills-HASH.js gzip	39.4 kB	39.4 kB	✓
Overall change	39.4 kB	39.4 kB	✓

Client Pages

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css-HASH.js gzip	343 B	342 B	N/A
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head-HASH.js gzip	363 B	362 B	N/A
hooks-HASH.js gzip	393 B	392 B	N/A
image-HASH.js gzip	4.49 kB	4.49 kB	N/A
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routerDirect..HASH.js gzip	328 B	328 B	✓
script-HASH.js gzip	397 B	397 B	✓
withRouter-HASH.js gzip	323 B	326 B	N/A
1afbb74e6ecf..834.css gzip	106 B	106 B	✓
Overall change	3.59 kB	3.59 kB	✓

Client Build Manifests

	vercel/next.js canary	vercel/next.js jude/extraneous-config	Change
_buildManifest.js gzip	747 B	746 B	N/A
Overall change	0 B	0 B	✓

Rendered Page Sizes

	vercel/next.js canary	vercel/next.js jude/extraneous-config	Change
index.html gzip	524 B	524 B	✓
link.html gzip	539 B	539 B	✓
withRouter.html gzip	520 B	520 B	✓
Overall change	1.58 kB	1.58 kB	✓

Edge SSR bundle Size

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edge-ssr.js gzip	128 kB	128 kB	N/A
page.js gzip	203 kB	203 kB	N/A
Overall change	0 B	0 B	✓

Middleware size

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middleware-b..fest.js gzip	671 B	667 B	N/A
middleware-r..fest.js gzip	155 B	156 B	N/A
middleware.js gzip	31.2 kB	31.2 kB	N/A
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Overall change	844 B	844 B	✓

Next Runtimes

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523-experime...dev.js gzip	322 B	322 B	✓
523.runtime.dev.js gzip	314 B	314 B	✓
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app-route-ex...dev.js gzip	37.3 kB	37.3 kB	✓
app-route-ex..prod.js gzip	25.4 kB	25.4 kB	✓
app-route-tu..prod.js gzip	25.4 kB	25.4 kB	✓
app-route-tu..prod.js gzip	25.2 kB	25.2 kB	✓
app-route.ru...dev.js gzip	38.9 kB	38.9 kB	✓
app-route.ru..prod.js gzip	25.2 kB	25.2 kB	✓
pages-api-tu..prod.js gzip	9.67 kB	9.67 kB	✓
pages-api.ru...dev.js gzip	11.6 kB	11.6 kB	✓
pages-api.ru..prod.js gzip	9.66 kB	9.66 kB	✓
pages-turbo...prod.js gzip	21.7 kB	21.7 kB	✓
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pages.runtim..prod.js gzip	21.7 kB	21.7 kB	✓
server.runti..prod.js gzip	916 kB	916 kB	✓
Overall change	2.36 MB	2.36 MB	✓

build cache

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0.pack gzip	2.05 MB	2.05 MB	N/A
index.pack gzip	72.7 kB	72.2 kB	N/A
Overall change	0 B	0 B	✓

Diff details

Diff for main-HASH.js

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Commit: fa172db