vba - Excel Looping through rows and copy cell values to another worksheet

I am facing some difficulty in achieving the desired result for my macro.

Intention:

I have a list of data in sheets(input).column A (the number of rows that has value will vary and hence I created a loop that will run the macro until the activecell is blank).

My macro starts from Range(A2) and stretches all the way down column A, it stops only when it hits a blank row

Desired result for the macro will be to start copying the cell value in sheet(input).Range(A2) paste it to sheet(mywork).Range(B2:B6).

For example, if "Peter" was the value in cell sheet(input),range(A2) then when the marco runs and paste the value into sheet(mywork) range(B2:B6). ie range B2:B6 will reflect "Peter"

Then the macros loop back to sheet(input) & copy the next cell value and paste it to range(B7:B10)

Example: "Dave" was the value in sheet(input) Range(A3), then "Dave" will be paste into the next 4 rows in sheet(mywork).Range(B7:B10). B7:B10 will reflect "Dave"

Again repeating the same process goes back to sheet(input) this time range(A4), copys the value goes to sheet(mywork) and paste it into B11:B15.

Basically the process repeats....

The macro ends the when the activecell in sheet(input) column A is empty.

Sub playmacro()
    Dim xxx As Long, yyy As Long
    ThisWorkbook.Sheets("Input").Range("A2").Activate
    Do While ActiveCell.Value <> ""
        DoEvents
        ActiveCell.Copy

        For xxx = 2 To 350 Step 4
            yyy = xxx + 3
            Worksheets("mywork").Activate 
            With ActiveSheet
                .Range(Cells(xxx, 2), Cells(yyy, 2)).PasteSpecial xlPasteValues
            End With
        Next xxx
        ThisWorkbook.Sheets("Input").Select
        ActiveCell.Offset(1, 0).Activate
    Loop

    Application.ScreenUpdating = True
End Sub