gen2 sdks: export builder context

[sidmohanty11]

Description

This PR exports BuilderContext as a named export in our gen2 sdks.

Screenshot
If relevant, add a screenshot or two of the changes you made.

Jira
https://builder-io.atlassian.net/browse/ENG-5614

Closes #3044

[changeset-bot]

🦋 Changeset detected

Latest commit: e602649

The changes in this PR will be included in the next version bump.

This PR includes changesets to release 7 packages

Name	Type
@builder.io/sdk-react-nextjs	Patch
@builder.io/sdk-qwik	Patch
@builder.io/sdk-react	Patch
@builder.io/sdk-react-native	Patch
@builder.io/sdk-solid	Patch
@builder.io/sdk-svelte	Patch
@builder.io/sdk-vue	Patch

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Name	Status	Preview	Comments	Updated (UTC)
nextjs-app-router-example	❌ Failed (Inspect)			Apr 15, 2024 3:46pm
svelte-vite-example	❌ Failed (Inspect)			Apr 15, 2024 3:46pm

2 Ignored Deployments

Name	Status	Preview	Comments	Updated (UTC)
nextjs-pages-router-example	⬜️ Ignored (Inspect)	Visit Preview		Apr 15, 2024 3:46pm
qwik-city-sdk-example	⬜️ Ignored (Inspect)	Visit Preview		Apr 15, 2024 3:46pm

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✅ Successfully ran 13 targets

• nx test @e2e/tests
• nx run-many -t build -p @e2e/svelte @e2e/sveltekit
• nx run-many -t build -p @e2e/next-app-dir
• nx run-many -t build -p @e2e/react-native
• nx run-many -t build -p @e2e/qwik-city
• nx run-many -t build -p @e2e/react @e2e/next-pages-dir @e2e/next-app-dir-client
• nx run-many -t build -p @e2e/vue @e2e/nuxt
• nx run-many -t build -p @e2e/solid @e2e/solid-start
• nx test @builder.io/sdks
• nx typecheck @builder.io/sdks
• nx run-many -t build -p @e2e/angular
• nx build @builder.io/sdk
• nx run-many -t build -p @e2e/gen1-react @e2e/gen1-next @e2e/gen1-remix

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[samijaber]

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