fix(docs): use db push for local prisma postgres

[AmanVarshney01]

Summary

• update local Prisma Postgres setup to save the direct postgres:// URL from prisma dev
• use prisma db push for local schema sync instead of prisma migrate dev
• fix the port guidance so --port is shown on prisma dev, not migrate dev
• clarify that migration files should be created against a development PostgreSQL database that supports the full migration workflow

Root cause

The local development page instructed users to run prisma migrate dev against local Prisma Postgres. Reproducing the issue with Prisma 7.8.0 returned P1017, while prisma db push succeeded against the same local server and schema.

Validation

• reproduced P1017 with DATABASE_URL=postgres://... npx prisma migrate dev --name init
• verified DATABASE_URL=postgres://... npx prisma db push succeeds against local Prisma Postgres
• pnpm exec cspell content/docs/postgres/database/local-development.mdx --show-context
• git diff --check

Fixes #7886

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Project	Deployment	Actions	Updated (UTC)
blog	Ready	Preview, Comment	May 26, 2026 1:26pm
docs	Ready	Preview, Comment	May 26, 2026 1:26pm
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Build	Status	Details	Updated (UTC)
default (Inspect)	✅ No changes detected	-	May 26, 2026, 1:33 PM