Feature Backport runWithContext

[ColinRosati]

Describe the Feature
Original feat request issue

Why

• To keep nuxt bridge up to date with nuxt 3 we should back port this runWithContext helper on nuxt app

What

• The proposed changes would be to backport the feature to nuxt-bridge: Update nuxtApp decleration & type definition

Related:
nuxt 3 runWithContext

[ColinRosati]

I have a proposed solution I would like to open an PR with after initial triage :)

[AndreyYolkin]

I will (hopefully) pass pre-presentation my master's dissertation tomorrow, after that I can help to backport this feature. Mention me if you want to collaborate)