Improve video details extraction by using innertube API

YouTube is slowly migrating to their new innertube API and we should consider using the new API for consitent and reliable results. youtube-dl is already using this new API.

Examples:
```bash
curl --location --request POST 'https://www.youtube.com/youtubei/v1/player?key=AIzaSyAO_FJ2SlqU8Q4STEHLGCilw_Y9_11qcW8' \
--header 'Content-Type: application/json' \
--data-raw '{
"context": {
"client": {
"clientName": "WEB",
"clientVersion": "2.20210623.00.00"
}
},
"videoId": "vKJpN5FAeF4"
}'
```

An age restricted video that does not work with get_video_info route.
```bash
curl --location --request POST 'https://www.youtube.com/youtubei/v1/player?key=AIzaSyAO_FJ2SlqU8Q4STEHLGCilw_Y9_11qcW8' \
--header 'Content-Type: application/json' \
--data-raw '{
"context": {
"client": {
"clientName": "WEB_EMBEDDED_PLAYER",
"clientVersion": "1.20210623.1.0"
}
},
"videoId": "HtVdAasjOgU"
}'
```

The API key and client version can be extracted from watch or embed page.