Praise be to Allah.
Part of the etiquette of interacting with the Holy Qur’an is not to recite it in filthy places, or in places where people relieve themselves.
Ibn Katheer (may Allah have mercy on him) said in Fadaa’il al-Qur’an (p. 149):
With regard to reciting Qur’an in the lavtory , it is obviously makrooh (disliked), and if we say that it is haraam, out of respect for the Qur’an, that would be a sound view. End quote.
Shaykh Ibn ‘Uthaymeen (may Allah have mercy on him) said, explaining the etiquette of reading or reciting the Holy Qur’an:
Part of that etiquette is not to read or recite Qur’an in filthy places, or in gatherings where no one will listen to it, because reciting it in such places is disrespectful towards it. It is not permissible to recite Qur’an in lavatories and the like, which are prepared for the purpose of urination or defecation, because that is not befitting to the Holy Qur’an,
End quote from Majmoo‘ Fataawa ash-Shaykh Ibn ‘Uthaymeen (20/277).
This ruling does not apply to a room in which a sick or elderly person urinates into a bottle, because this room cannot be described as being unclean or impure (najis); rather it is pure (taahir), and the impurity is limited to the bottle only.
It is proven in the hadith that the Prophet (blessings and peace of Allah be upon him) had a vessel that he would keep with him in his room, and urinate into it if he woke up at night. This is similar to the bottle mentioned in the question.
It was narrated by Abu Daawood in his Sunan (24), an-Nasaa’i in his Sunan (32), Ibn Hibbaan in his Saheeh (1426), and al-Haakim in al-Mustadrak (594) from Hukaymah bint Umaymah bint Ruqayqah from her mother that she said: The Prophet (blessings and peace of Allah be upon him) used to have a vessel made of wood under his bed into which he would urinate at night.
This hadith was classed as hasan by an-Nawawi in al-Eejaaz fi Sharh Sunan Abi Daawood (p. 155); it was classed as saheeh by Shaykh al-Albaani in Saheeh Abi Daawood (19).
Please see the answer to question no. 281198.
It is known that the Prophet (blessings and peace of Allah be upon him) used to remember Allah and recite Qur’an before going to sleep, and he would recite Qur’an when he woke up, and he would pray in his room. He did not refrain from doing any of those things because of this vessel.
So there is a difference between places that are set up for dealing with impurity, such as lavatories and places where animals are slaughtered, and clean, pure (taahir) places in which there happens to be some transient impurity.
The former are places where the Holy Qur’an should not be recited; as for the latter, the presence of some transient impurity in them does not mean that Qur’an cannot be recited there.
Based on that, there is nothing wrong with playing Qur’an in this room.
And Allah knows best.