[Bug] API /api/v1/search returns incorrect data for livestreams

[litetex]

Describe the bug
From #3057 (comment):

• Livestreams have no views when searching for them and the date looks incorrect:
  

Steps to Reproduce

1. Search for live streams via the API, e.g. https://test.invidious.io/api/v1/search?q=live
2. Notice that livestreams
   • have a published-field that is equals to the current time, which is incorrect
   • have a viewCount of 0 which is also incorrect

Example:
Result of the API:
https://test.invidious.io/api/v1/search?q=live

[
    {
        "type": "video",
        "title": "Russia-Ukraine Conflict Live News Updates: G7 to hold virtual meet with President Zelensky | WION",
        "videoId": "yjJ3Ygc0u2Q",
        "author": "WION",
        "authorId": "UC_gUM8rL-Lrg6O3adPW9K1g",
        "authorUrl": "/channel/UC_gUM8rL-Lrg6O3adPW9K1g",
        "videoThumbnails": [
            {
                "quality": "maxres",
                "url": "https://test.invidious.io/vi/yjJ3Ygc0u2Q/maxres.jpg",
                "width": 1280,
                "height": 720
            },
            ...
        ],
        "description": "",
        "descriptionHtml": "",
        "viewCount": 0,
        "published": 1651925674,
        "publishedText": "vor 0 Sekunden",
        "lengthSeconds": 0,
        "liveNow": true,
        "premium": false,
        "isUpcoming": false
    },
    ...
]

Actual YouTube information regarding that livestream:

[iBicha]

I'm seeing "liveNow": false, is returned on live videos

[github-actions]

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