Is it permissible to offer condolences to a non-Muslim?

Majority of the scholars (Hanafis, Malikis, Shafi'is, and a narration from Ahmad) say it is permissible. One of the main evidences cited to prove this is the ḥadīth reported by Bukhāri on the authority of Anas (may Allah be pleased with him), who said: "There was a Jewish boy who used to serve the Prophet (peace be upon him). He fell ill, and the Prophet (peace be upon him) visited him to inquire about his condition. The Prophet (peace be upon him) sat by his head and said to him, 'Accept Islām.' The boy looked at his father who was present with him, and the he (the father) said to him, 'Obey Abu Al-Qasim (the Prophet's kunya).' So, the boy embraced Islām. The Prophet (peace be upon him) left, saying, 'Praise be to Allah who has saved him from the Fire.'" Similarly, the Prophet ﷺ visited his uncle Abū Ṭālib when he was on his deathbed, inviting him to Islam, but he did not accept Islām. [Reported by Bukhāri and Muslim on the authority of Sa'eed ibn Al-Musayyab, from his father (Al-Musayyab ibn Ḥuzn رضي الله عنه)] The point of evidence: If the Prophet (peace be upon him) visited a Jewish boy who was a disbeliever, this indicates the permissibility of offering condolences to a non-Muslim. [as explained by Ibn Qudāmah in "Al-Mughni" (2/406)] Sheikh Ibn Bāz raḥimahullāh was asked was asked about congratulating non-Muslims on their national holidays and sending them condolences, to which he answered (paraphrasing): This matter is subject to great dispute among scholars. There are three opinions among the scholars: 1. some prohibit it, 2. some permit it, 3. and some take a middle stance, stating that if THERE IS A BENEFIT perceived by the ruler in this, and IT SERVES AS A MEANS TO PREVENT EVIL AND BRING ABOUT GOOD, then it is permissible to congratulate them, visit their sick, offer condolences, and similar actions. This is NOT done in order to agree with/endorse their falsehood, but to benefit Muslims, protect them from the plots of the enemies, and strive to repel their harm or bring them into the religion of Allāh. This moderate opinion is the most just and closest to the truth. It involves considering the benefits and harms, so if the benefit calls for it, then offering condolences, visiting their sick, and congratulating them are permissible if it is for the benefit of Muslims, not out of love for falsehood or hatred for the truth. OTHERWISE, IT IS NOT PERMISSIBLE. Source: https://binbaz.org.sa/audios/1459/%D8%AD%D9%83%D9%85-%D8%AA%D8%B9%D8%B2%D9%8A%D8%A9-%D8%A7%D9%84%D9%83%D9%81%D8%A7%D8%B1-%D9%88%D8%AA%D9%87%D9%86%D9%89%D8%AA%D9%87%D9%85-%D8%A8%D8%A7%D8%B9%D9%8A%D8%A7%D8%AF%D9%87%D9%85 Sheikh 'Uthaymeen raḥimahullāh further explained: "If they (the relatives of the deceased) are Muslims, there is no harm in offering condolences to them, as they are Muslims who have been afflicted and so they are entitled to it. However, if they are non-Muslims, the matter should be considered based on the interests. If there is a benefit in fostering harmony and bringing affection from these non-Muslims towards Muslims, then there is no harm. But if there is no interests in this, then there is no benefit." "الإجابات على أسئلة الجاليات" (1/14، 15) NOTE: some of the scholars have excluded the محارب (combatant/open enemy) and the مرتد (apostate) from the above discussion. How do we give condolences to non-Muslims? We are not allowed to invoke Mercy, forgiveness and the like, because Allāh said: { مَا كَانَ لِلنَّبِیِّ وَٱلَّذِینَ ءَامَنُوۤا۟ أَن یَسۡتَغۡفِرُوا۟ لِلۡمُشۡرِكِینَ وَلَوۡ كَانُوۤا۟ أُو۟لِی قُرۡبَىٰ مِنۢ بَعۡدِ مَا تَبَیَّنَ لَهُمۡ أَنَّهُمۡ أَصۡحَـٰبُ ٱلۡجَحِیمِ} "It is not for the Prophet and those who have believed to ask forgiveness for the polytheists, even if they were relatives, after it has become clear to them that they are companions of Hellfire." [Sūrah At-Tawbah: 113] Instead, we can say words like: لله ما أخذ وله ما أعطى وكل شيء عنده لأجل مسمى