Examine the logical coherence between the following demographic variables and constitutional applicability:
1. Evidence 1: Article 29 grants the right to conserve a distinct culture to 'any section of the citizens'. Inference 1: Therefore, a demographic group that constitutes 80% of a state's population can legally invoke Article 29 to protect its heritage.
2. Evidence 2: Article 29 prohibits state-maintained educational institutions from denying admission based solely on language. Inference 2: Consequently, a state university cannot reject an applicant simply because they do not speak the local regional dialect.
3. Evidence 3: The Cultural and Educational Rights in Part III are designed to protect diverse identities. Inference 3: Thus, a group of foreign nationals working in Mumbai can utilize Article 29 to demand state protection for their native European language.