docs(types): align database types path examples with module default

[noracoderwitch]

Types of changes

• Bug fix (a non-breaking change which fixes an issue)
• New feature (a non-breaking change which adds functionality)
• Breaking change (fix or feature that would cause existing functionality to change)
• Documentation update (non-breaking change, improves clarity)

Description

The types option default path documented in docs/content/1.getting-started/1.introduction.md and the related Typescript example in docs/content/2.composables/useSupabaseClient.md were inconsistent with the module's actual default declared in src/module.ts (~/types/database.types.ts).

The intro page advertised ./app/types/database.types.ts (a hardcoded path that drifts when srcDir is customized — for example with the NuxtHub starter). The composable page advertised ./types/database.types.ts (root-relative, which doesn't match the module default). Both are now aligned to ~/types/database.types.ts.

The shell examples that previously redirected to > types/database.types.ts would land outside srcDir in a default Nuxt 4 setup, so the generated types wouldn't be picked up by the module. Updated to > app/types/database.types.ts. A short note in the intro section links to the upstream Nuxt srcDir docs and mentions Nuxt 3 / legacy behavior for completeness.

Resolves: #477

Checklist:

• My change requires a change to the documentation.
• I have updated the documentation accordingly.
• I have added tests to cover my changes (not applicable – docs-only change).

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[larbish]

👍