goroutine不尊重`ctx.done（）`或正确退出

I am trying to achieve quit gracefully when user press Ctrl-C. I am trying the code in Make Ctrl+C cancel the context.Context. package main

import (
    "context"
    "fmt"
    "os"
    "os/signal"
    "time"
)

func main() {

    ctx := context.Background()

    // trap Ctrl+C and call cancel on the context
    ctx, cancel := context.WithCancel(ctx)
    c := make(chan os.Signal, 1)
    signal.Notify(c, os.Interrupt)
    defer func() {
        signal.Stop(c)
        cancel()
        fmt.Println("Cleaned up")
    }()
    go func() {
        select {
        case <-c:
            fmt.Println("Got interrupt signal")
            cancel()
        case <-ctx.Done():
        }
        fmt.Println("Stopped monitoring")
    }()
    select {
    case <-ctx.Done():
        fmt.Println("notified to quit")
    case <-time.NewTimer(time.Second * 2).C:
        fmt.Println("done something")
    }
}

It works well as expected when user press Ctrl-c, it console out the following:

Got interrupt signal
Stopped monitoring
notified to quit
Cleaned up

However, if it quit normally, It doesn't work as expected as below:

done something
Cleaned up

I mean it should print out Stopped monitoring, but not. In defer cleanup function, it called cancel() which should trigger the select in monitoring goroutine to quit, but not.

How to solve the issue?

Thanks @Zan Lynx, I worked out the below solution.

package main

import (
    "context"
    "fmt"
    "os"
    "os/signal"
    "time"
)

func main() {
    ctx := context.Background()
    ctx, cancel := context.WithCancel(ctx)
    terminated := monitor(ctx, cancel)
    defer func() {
        cancel()
        fmt.Println("Cleaned up")
        <-terminated // wait for the monior goroutine quit
    }()
    select {
    case <-ctx.Done():
        fmt.Println("notified to quit")
    case <-time.NewTimer(time.Second * 1).C:
        fmt.Println("done something")
    }
}

func monitor(ctx context.Context, cancel context.CancelFunc) <-chan interface{} {
    c := make(chan os.Signal, 1)
    signal.Notify(c, os.Interrupt)
    terminated := make(chan interface{})
    go func() {
        defer close(terminated)
        defer fmt.Println("Stopped monitoring1")
        defer signal.Stop(c)
        select {
        case <-c:
            fmt.Println("Got interrupt singnal")
            cancel()
        case <-ctx.Done():
        }
    }()
    return terminated
}