Lint with Oxlint through Vite+ instead of ESLint

Replace ESLint, typescript-eslint, eslint-plugin-node and the flat
config helpers with vite-plus, which runs Oxlint for vp lint. The rules
are carried over from eslint.config.mjs by @oxlint/migrate into the lint
section of the root vite.config.ts. The formatting rules ESLint
deprecated run as @stylistic rules through Oxlint's JS plugin support,
and disable comments naming them are updated to the @stylistic names.

@stylistic understands TypeScript syntax that the core rules skipped,
so the autofix adds missing semicolons and spaces in type literals and
aliases. Leading | and & in multiline types stay where they were.

Oxlint's node/no-sync also reports identifiers ending in Sync that are
not calls. The test helper techSync is renamed and the two other names
are ignored.

Refs #1127

Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>

test/integration/clusterio.js

@@ -1313,7 +1313,7 @@ describe("Integration of Clusterio", function() {
 				} else if (isV2) {
 					exchangeString = testStrings.modified_v2;
 				}
-				// eslint-disable-next-line max-len
+				// eslint-disable-next-line @stylistic/max-len
 				const args = `base/freeplay --seed 1234 --map-exchange-string "${exchangeString.replace(/[\n\r]+/g, "")}"`;
 				await execCtl("instance stop 44");