chore: include browser test for provider-inference package (#2446)

## Description

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about the "what" this PR is solving -->

## Linked Issues

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## Additional Context

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vitest.config.ts

@@ -1,5 +1,7 @@
 import { defineConfig } from 'vitest/config'
 
+import { providerInferenceProjects } from './packages/provider-inference/vitest.config'
+
 export default defineConfig({
   test: {
     projects: [
@@ -18,7 +20,7 @@ export default defineConfig({
       'packages/better-ws',
       'packages/plugin-sdk',
       'packages/plugin-sdk-tamagotchi',
-      'packages/provider-inference',
+      ...providerInferenceProjects.map(project => ({ ...project, root: 'packages/provider-inference' })),
       'packages/scenarios-stage-tamagotchi-browser',
       'packages/scenarios-stage-tamagotchi-electron',
       'packages/server-runtime',