Text boxes are usually separate from the map image, so if that's the case they won't copy across in one item.
One thing you can try is doing a screenshot - or a "snip" of what you see. Are you on a Windows device?
Get your map with text boxes on the screen. Then search in the box on the bottom left of the screen on the toolbar, and click on the icon called Snipping Tool.
A little box will appear on screen, called Snipping Tool and with New in the left side of it.
Click New, and the page will go a little faint, with your cursor turning to a + sign rather than a mouse or line.
You are going to put the cursor at one corner of the map, and then hold your left mouse button down to drag and drop until you have drawn a rectangle around all of the map and its text boxes.
Then release your mouse left button. The image you've just drawn a rectangle around is now copied to the Clipboard in the same way as any other time you use the Copy function.
Go to the document you want to put it into, then Paste (control V, or right click Paste, or using the Paste icon).
The rectangle image of the map / text will appear in the new document.