Examine the logical coherence between the following legal conflicts and the issuance of a Mandamus writ:
1. Evidence 1: A municipal commissioner refuses to issue a legally mandated trading license to a qualified applicant. Inference 1: The applicant can seek a writ of Mandamus to command the public official to perform their statutory duty.
2. Evidence 2: A private technology corporation violates the terms of an employment contract with a software engineer. Inference 2: The engineer can petition the High Court for a writ of Mandamus to force the corporation to honor the contract.
3. Evidence 3: The Constitution grants the President of India absolute immunity from court directives regarding their executive functions. Inference 3: Therefore, a court will dismiss any writ of Mandamus aimed at compelling the President to act.