Mixed-single/double-quote style throughout backend; enforce via Prettier

[mercy60]

Internal ID: #39

Imported from ISSUES.md via scripts/import-issues.mjs.

Problem Statement. app.module.ts contains a mix of 'puzzle/puzzle.module' and "puzzle/puzzle.module" imports. Both eslint-config-prettier and eslint-plugin-prettier are dependencies; behavior is to allow either unless enforced.

Expected Outcome. eslint + prettier config rejects imports using inconsistent quoting.

Acceptance Criteria.

• npm run lint rejects the current state.
• npm run format normalizes all imports to single style.

Implementation Notes.

• Edit .prettierrc: "singleQuote": true.

Files / modules affected.

• backend/.prettierrc
• backend/src/app.module.ts

Dependencies. None.

Difficulty / Effort. Easy / XS (≈ 30 minutes).

Labels. area:backend, lint

[abdulquadri123]

@abdulquadri123 has applied to work on this issue as part of the Stellar Wave Program's 7th wave.

Hi Drip Team,
I'm delighted to be able to contribute to the issues in this wave and I will be delighted if this issue is assigned to me as a pro blockchain developer.
Thanks.

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[ybmaorg]

@ybmaorg has applied to work on this issue as part of the Stellar Wave Program's 7th wave.

Hi there, I'd like to contribute to this.

I've worked on blockchain and Web3 projects, including Stellar and Soroban smart contracts, alongside traditional full-stack web development. I'm comfortable moving between frontend, backend, and on-chain work.

I've looked into this issue closely and I'm confident in my ability to deliver a high-quality implementation here.

I'd love the opportunity to work on this — please consider assigning it to me.

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[webdevayo]

@webdevayo has applied to work on this issue as part of the Stellar Wave Program's 7th wave.

Hello Maintainer, i'm an experienced full stack dev and i will like to work on this issue.
if you'll kindly assign, the issue will be resolved.
ETA: 5 Hours

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[drips-wave]

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