Is errgroup in golang restrictive in its usage?

I am learning golang and am confused about errgroup package when used with context. Here is my simple code:

  package main
  
  import (
    "context"
    "errors"
    "fmt"
    "time"
  
    "golang.org/x/sync/errgroup"
  )
  
  func main() {
    fmt.Println("..................")
    ctx := context.Background()
    group, ctx := errgroup.WithContext(ctx)
    ctx, cancel := context.WithCancel(ctx)
  
    group.Go(func() error {
        //return errors.New("Error 1")
        time.Sleep(8 * time.Second)
        fmt.Println("Sleep 1 ended..................")
        cancel()
        return errors.New("Error 1")
    })
  
    group.Go(func() error {
        //return errors.New("Error 1")
        time.Sleep(2 * time.Second)
        fmt.Println("Sleep 2 ended..................")
        cancel()
        return errors.New("Error 2")
    })
  
    err := group.Wait()
  
    if err != nil {
        fmt.Println("Error: ", err)
    }
    fmt.Println("..................")
  
  }
 

The output, as expected is:

   ..................
   Sleep 2 ended..................
   Sleep 1 ended..................
   Error:  Error 2
   ..................

group.Wait() "blocks until all function calls from the Go method have returned, then returns the first non-nil error (if any) from them." Questions:

1. What if I want to use errgroup but want to wait until the context shared by all the Go methods is cancelled or all function calls from the Go method have returned?
2. What if I want to use errgroup but want to wait until one of the Go method has returned error, which method will cancel the context and not wait for all to finish?

Somehow I feel that errgroup package is too restrictive in its use. What am I missing?