[Bug]: YouTube playlist doesnt play duplicate video

### Guidelines

- [x] I have encountered this bug in the [latest release of FreeTube](https://github.com/FreeTubeApp/FreeTube/releases).
- [x] I have encountered this bug in the [official downloads of FreeTube](https://github.com/FreeTubeApp/FreeTube#official-downloads). **The only official downloads are from the [https://freetubeapp.io](https://freetubeapp.io/#download) website, the [FreeTubeApp/FreeTube GitHub repository](https://github.com/FreeTubeApp/FreeTube/releases) and the [io.freetubeapp.FreeTube flatpak](https://flathub.org/en/apps/io.freetubeapp.FreeTube) from Flathub.**
- [x] I have [searched the issue tracker for **open and closed** issues](https://github.com/FreeTubeApp/FreeTube/issues?q=is%3Aissue+sort%3Arelevance-desc) that are similar to the bug report I want to file, without success.
- [x] I have searched the [documentation](https://docs.freetubeapp.io/) for information that matches the description of the bug I want to file, without success.
- [x] This issue contains only one bug.
- [x] I have read and agree to follow the [rules](https://docs.freetubeapp.io/community/rules/).

### Describe the bug

1. Go to https://youtube.com/playlist?list=PLgbI0QcBNn5gB5XaWSiN7TRBL2QPD3M-a
2. Play entry 4 in the list (entry 5 is the duplicate)
3. Video ends
4. Doesnt skip to next video

This behavior doesnt happen on Local Playlists

### Expected Behavior

Play the next duplicate video

### Issue Labels

inconsistent behavior

### FreeTube Version

v0.25.0-nightly-7518 Beta

### Operating System Version

Windows 11 IoT Enterprise LTSC 24H2

### Installation Method

.exe

### Primary API used

Local API

### Last Known Working FreeTube Version (If Any)

_No response_

### Upload screenshots or videos

[FreeTube_rVdbCuPaKK.mp4](https://github.com/user-attachments/assets/45224da9-6e40-4512-b286-28d7aa3707d2)

### Additional Information

_No response_

### Nightly Build

- [x] I have encountered this bug in the latest **official** [nightly build](https://docs.freetubeapp.io/development/nightly-builds), do not check this box if you are using an unofficial or custom build.

Start by reproducing the linked YouTube playlist behavior in FreeTube v0.25.0-nightly-7518: play entry 4 and observe whether playback advances to duplicate entry 5. Compare this with the same sequence in a Local Playlist; done means the next duplicate video plays after the current video ends.

Written by the indexing model from the issue text.