Typescript bug when used in conjunction with "fastify-type-provider-zod".

Prerequisites

[X] I have written a descriptive issue title
[X] I have searched existing issues to ensure the bug has not already been reported

Fastify version

4.25.2

Plugin version

4.4.0

Node.js version

20.9.0

Operating system

macOS

Operating system version (i.e. 20.04, 11.3, 10)

14.2.1

Description

I came across a weird bug today when I was building my API. Basically when using @fastify/auth plugin along with fastify-type-provider-zod package typescript complains. I get the following error:

Type 'preHandlerHookHandler<RawServerDefault, IncomingMessage, ServerResponse<IncomingMessage>, RouteGenericInterface, unknown, FastifySchema, FastifyTypeProviderDefault, FastifyBaseLogger>' is not assignable to type 'onRequestHookHandler<RawServerDefault, IncomingMessage, ServerResponse<IncomingMessage>, RouteGenericInterface, unknown, FastifySchema, ZodTypeProvider, FastifyBaseLogger> | onRequestHookHandler<...>[] | undefined'.
  Type 'preHandlerHookHandler<RawServerDefault, IncomingMessage, ServerResponse<IncomingMessage>, RouteGenericInterface, unknown, FastifySchema, FastifyTypeProviderDefault, FastifyBaseLogger>' is not assignable to type 'onRequestHookHandler<RawServerDefault, IncomingMessage, ServerResponse<IncomingMessage>, RouteGenericInterface, unknown, FastifySchema, ZodTypeProvider, FastifyBaseLogger>'.
    The 'this' types of each signature are incompatible.
      Type 'FastifyInstance<RawServerDefault, IncomingMessage, ServerResponse<IncomingMessage>, FastifyBaseLogger, ZodTypeProvider>' is not assignable to type 'FastifyInstance<RawServerDefault, IncomingMessage, ServerResponse<IncomingMessage>, FastifyBaseLogger, FastifyTypeProviderDefault>'.
        The types returned by 'after()' are incompatible between these types.
          Type 'FastifyInstance<RawServerDefault, IncomingMessage, ServerResponse<IncomingMessage>, FastifyBaseLogger, ZodTypeProvider> & PromiseLike<...>' is not assignable to type 'FastifyInstance<RawServerDefault, IncomingMessage, ServerResponse<IncomingMessage>, FastifyBaseLogger, FastifyTypeProviderDefault> & PromiseLike<...>'.
            Type 'FastifyInstance<RawServerDefault, IncomingMessage, ServerResponse<IncomingMessage>, FastifyBaseLogger, ZodTypeProvider> & PromiseLike<...>' is not assignable to type 'FastifyInstance<RawServerDefault, IncomingMessage, ServerResponse<IncomingMessage>, FastifyBaseLogger, FastifyTypeProviderDefault>'.
              The types of 'addSchema(...).addHook' are incompatible between these types.
                Type '{ <RouteGeneric extends import("/Users/geovla/Developer/Projects/apps/taskmaster/api/node_modules/.pnpm/fastify@4.26.0/node_modules/fastify/types/route").RouteGenericInterface = import("/Users/geovla/Developer/Projects/apps/taskmaster/api/node_modules/.pnpm/fastify@4.26.0/node_modules/fastify/types/route").RouteGene...' is not assignable to type '{ <RouteGeneric extends import("/Users/geovla/Developer/Projects/apps/taskmaster/api/node_modules/.pnpm/fastify@4.26.0/node_modules/fastify/types/route").RouteGenericInterface = import("/Users/geovla/Developer/Projects/apps/taskmaster/api/node_modules/.pnpm/fastify@4.26.0/node_modules/fastify/types/route").RouteGene...'. Two different types with this name exist, but they are unrelated.
                  Types of parameters 'hook' and 'hook' are incompatible.
                    Types of parameters 'opts' and 'opts' are incompatible.
                      Type 'RouteOptions<RawServerDefault, IncomingMessage, ServerResponse<IncomingMessage>, any, any, any, ZodTypeProvider, FastifyBaseLogger> & { ...; }' is not assignable to type 'RouteOptions<RawServerDefault, IncomingMessage, ServerResponse<IncomingMessage>, any, any, any, FastifyTypeProviderDefault, FastifyBaseLogger> & { ...; }'.
                        Type 'RouteOptions<RawServerDefault, IncomingMessage, ServerResponse<IncomingMessage>, any, any, any, ZodTypeProvider, FastifyBaseLogger> & { ...; }' is not assignable to type 'RouteOptions<RawServerDefault, IncomingMessage, ServerResponse<IncomingMessage>, any, any, any, FastifyTypeProviderDefault, FastifyBaseLogger>'.
                          Types of property 'handler' are incompatible.
                            Type 'RouteHandlerMethod<RawServerDefault, IncomingMessage, ServerResponse<IncomingMessage>, any, any, any, ZodTypeProvider, FastifyBaseLogger>' is not assignable to type 'RouteHandlerMethod<RawServerDefault, IncomingMessage, ServerResponse<IncomingMessage>, any, any, any, FastifyTypeProviderDefault, FastifyBaseLogger>'.
                              Type 'FastifyTypeProviderDefault' is not assignable to type 'ZodTypeProvider'.

The error is shown both in onRequest and preHandler hooks. I should mention that the error does not show up if I remove the app.auth() function and use the auth functions on their own or in an array.

Steps to Reproduce

Create a fastify server and install the mentioned packages along with zod. Create two auth functions and try to use them in either onRequest or preHandler hooks.

export default async function routes(app: FastifyInstance) {
  app
    .withTypeProvider<ZodTypeProvider>()
    .route({
      method: 'GET',
      url: '/',
      schema: {
        description: 'Get all users',
        tags: ['User'],
        response: {
          200: userResponseSchema.array(),
        },
      },
      onRequest: app.auth([app.authenticate, app.guard]),
      handler: getUsersHandler,
    });
}

Expected Behavior

I would like to use this package without this typescript error like this:

onRequest: app.auth([app.authenticate, app.guard])

fastify / fastify-auth