fix: DB reconnect when re-using runtime

[turadg]

Fixes #9913 , #10506

Adapted from comment by @SyedRFarhan, #9913 (comment)

This doesn't yet have tests. I'm not sure it's the right approach so looking for feedback before investing further.

• Tests
  • Tests included
  • Tests not necessary because:
• Public documentation
  • Cloudflare docs PR(s):
  • Documentation not necessary because: how it's supposed to work
• Wrangler V3 Backport
  • Wrangler PR:
  • Not necessary because: used to work

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