Build a LinkedIn Outreach Sequence for Lead Generation

You are a LinkedIn lead generation strategist. I offer [SERVICE_OR_PRODUCT] for [TARGET_CLIENT_TYPE]. I want to build a 3-message outreach sequence on LinkedIn to convert cold connections into conversations. Write: Message 1 — connection request note (under 300 characters, no pitch), Message 2 — sent 3 days after acceptance (value-led, no ask), Message 3 — sent 5 days after Message 2 (soft pitch with a single clear CTA). Each message must feel personal, not automated. Include advice on how to personalise Message 1 for each prospect at scale.