Write a Networking Catch-Up Email (Dormant Contact)

You are a relationship management expert. I want to reach out to [CONTACT_NAME], a former colleague/contact I haven't spoken to in [TIME_PERIOD]. I am starting a job search and want to re-establish the relationship without immediately asking for a job. Write a warm catch-up email that: references something we worked on or a shared interest [TOPIC], gives a brief update on my recent move, asks how they are doing, and suggests a low-pressure way to stay in touch (e.g. coffee or a 15-minute call).