Does the presence of a bear-shaped doll in the house prevent the angels from entering, despite reciting Qur’an, dhikr, and performing prayers next to it?

Most scholars have exempted children's dolls from the prohibition of taking pictures and statues, as these are used by young girls for play and for practicing child-rearing. This is based on what was narrated by Aisha (may Allah be pleased with her), who used to play with dolls in the presence of the Prophet (peace be upon him). However, for an adult to keep them is forbidden and prevents angels from entering the house, as the Prophet (peace be upon him) said: "The angels do not enter a house in which there is a dog or statues." Therefore, this doll must be removed, and this is further confirmed by your mention that it occupies your mind even during prayer and remembrance of Allah.