Is an Islamic team sinful if it removes another team's logo from da'wah videos and replaces it with its own, while keeping the original channel's logo?

There is no impediment to quoting materials and attributing them to their authors. It is not permissible for a person to attribute the work of others to themselves. Preserving the right of the previous team is done by keeping their logo on their works, and this is part of fulfilling the trust. As for removing their logo, it involves neglecting their right, deception, and a form of falsehood. If it is not possible to keep the logo, then one must refer to the original material and deal with it directly.