build: migrate tsconfig to TypeScript 7 (native compiler)

TypeScript 7 is the native Go compiler and removes `baseUrl` and
`moduleResolution: node|node10`. Both appear here, so `tsc` from TS7
refuses the config outright (TS5102 / TS5108) and cannot typecheck.

`paths` targets resolve relative to `baseUrl` when it is set and relative
to the tsconfig file otherwise. Every `baseUrl` folded here already
pointed at the config's own directory, so dropping it moves nothing and
the targets are left byte-identical. Where a baseUrl pointed elsewhere,
each affected target was rewritten as join(baseUrl, target).

`moduleResolution` was chosen from the declared `module`: commonjs ->
node16, esnext/preserve -> bundler. Configs whose `module` is unset or
exotic were left alone rather than guessed at.

The result is accepted by BOTH toolchains, so nothing has to upgrade
TypeScript in lockstep. Verified on hanzo/chat packages/api: tsc 5.9
779 -> 778 errors (no regression), and tsc 7.0.2 now runs the project
in 2s where it previously refused the config.

Co-authored-by: Hanzo Dev <[email protected]>

tsconfig.json

@@ -21,7 +21,6 @@
     "noUnusedLocals": true,
     "noUnusedParameters": true,
     "noFallthroughCasesInSwitch": true,
-    "baseUrl": ".",
     "paths": {
       "@/*": [
         "./*"