[QA] Issue with Play button functionality and open in new window button disappearing

### Description

Here are two issues.

a) Play button is in "Play state" but the video is not playing.

b) Play in new window button is not showing up for the second time.

### Reproduction Steps

Test Case - [1.6.2 amp-ima-video]

Playground Link - https://playground.amp.dev/?url=https%3A%2F%2Fpreview.amp.dev%2Fdocumentation%2Fexamples%2Fcomponents%2Famp-ima-video&format=websites

Steps:
1) Go to Playground link.
2) Play the 3rd video.
3) Click on "Open in new window" button while video is playing. (https://screenshot.googleplex.com/AB67KXz6vqBTYUt.png)
4) Close the video box that showed up on the bottom right of the screen.

Observed :
a) It is showing pause button but the video is not playing. (https://screenshot.googleplex.com/3AWmy4EgrMfUfRE.png)
b) Open in new window button is missing on the screen.

Screen-recording - http://recall/-/hs0wNzze8G3KGS0hZUyKJT/hEby6ns8QBZP2A9ujIYY15

Expected :
a) It should either show play button and pause the video or show pause button and play the video.
b) Open in new window button should show up.

### Relevant Logs

_No response_

### Browser(s) Affected

Chrome, Firefox, Safari

### OS(s) Affected

NA

### Device(s) Affected

Mac, Android-Mobile

### AMP Version Affected

2308042153000