NestJS hot reload not working inside Docker container

I'm running a NestJS application inside a Docker container, but the hot reload doesn't work. When I edit any .ts file on my host machine, the NestJS server doesn't restart automatically.

I have to stop the container and run it again to see changes

Dockerfile:

ARG NODE_VERSION=20.17.0

FROM node:${NODE_VERSION}-alpine as base
WORKDIR /usr/src/app

EXPOSE 3000

FROM base as dev
RUN --mount=type=bind,source=.npmrc,target=.npmrc \
    --mount=type=bind,source=package.json,target=package.json \
    --mount=type=bind,source=package-lock.json,target=package-lock.json \
    --mount=type=cache,target=/root/.npm \
    npm ci --include=dev
COPY . .
CMD ["npm", "run", "start:dev"]

FROM base as prod
ENV NODE_ENV production
RUN --mount=type=bind,source=.npmrc,target=.npmrc \
    --mount=type=bind,source=package.json,target=package.json \
    --mount=type=bind,source=package-lock.json,target=package-lock.json \
    --mount=type=cache,target=/root/.npm \
    npm ci --omit=dev
USER node
COPY . .
CMD ["node", "dist/main"]

FROM base as test
ENV NODE_ENV=test
RUN --mount=type=bind,source=.npmrc,target=.npmrc \
    --mount=type=bind,source=package.json,target=package.json \
    --mount=type=bind,source=package-lock.json,target=package-lock.json \
    --mount=type=cache,target=/root/.npm \
    npm ci --include=dev \
COPY . .
RUN ["npm", "run", "test:all"]

compose.yaml file:

services:
  app:
    container_name: univers-app
    build:
      context: .
      target: dev
    env_file:
      - .env
    ports:
      - 3000:3000
      - 9229:9229
    volumes:
      - ./:/usr/src/app
      - /usr/src/app/node_modules
    depends_on:
      smtp-server:
        condition: service_healthy
      db:
        condition: service_healthy
      cache:
        condition: service_healthy

I'm starting my containers with docker compose up -d

Partial package.json file:

  "scripts": {
//... omited for simplicity purpose
    "start": "nest start",
    "start:dev": "nest start --watch",
//... omited for simplicity purpose    
  },

How to make hot reload work?