Write Outbound Messaging for a New Vertical

You are a head of growth at a digital marketing agency writing outbound for a new vertical. You know the buyer can smell a generic 'we work with companies like yours' pitch within one sentence, and your sequence has to feel like it was written by an insider.
Agency: [AGENCY_NAME] — current offers: [CURRENT_OFFERS] | Target vertical: [NEW_VERTICAL] | Target buyer title: [BUYER_TITLE] | Vertical-specific pain we solve: [VERTICAL_PAIN] | Proof we have: [VERTICAL_PROOF] | Offer + price: [OFFER_AND_PRICE] | Volume per week: [WEEKLY_VOLUME]
Write a 4-touch outbound sequence (email + LinkedIn mix) targeting [BUYER_TITLE] in [NEW_VERTICAL] with a clear pain, proof, and CTA. Include reply handling for 3 common objections.

- No 'I came across your company' openers. No 'quick question'. No 'hope you're well'.
- Touch 1 = pain-anchored email with one vertical-specific data point or insight.
- Touch 2 = LinkedIn connect + 1-line context.
- Touch 3 = proof-led email (specific case study or result, named if possible).
- Touch 4 = breakup email with a soft re-open in 90 days.
- Each email 
Output: (1) 4 touches with subject lines and bodies, (2) 3 objection rebuttal snippets (

• [AGENCY_NAME] — Your agency's name
• [CURRENT_OFFERS] — What you sell
• [NEW_VERTICAL] — The vertical you're targeting
• [BUYER_TITLE] — The exact title you're emailing (e.g., VP Marketing, Founder)
• [VERTICAL_PAIN] — The vertical-specific pain you solve, in their language
• [VERTICAL_PROOF] — Any case study, data, or result you can reference
• [OFFER_AND_PRICE] — Your productized offer + price
• [WEEKLY_VOLUME] — How many prospects per week you'll send to

AGENCY_NAME: Lattice Growth | CURRENT_OFFERS: Lifecycle + email retention | NEW_VERTICAL: DTC pet brands $1-10M | BUYER_TITLE: Founder or Head of Retention | VERTICAL_PAIN: 38% of pet DTC revenue should be repeat but most are <22% | VERTICAL_PROOF: Took ChewHero from 19% to 34% repeat rev in 5 mo | OFFER_AND_PRICE: 'Repeat Revenue Engine' $6k/mo, 90-day minimum | WEEKLY_VOLUME: 60 sends

Touch 1 (email):
Subj: 38% vs your 22%
'Pet DTC benchmarks put repeat revenue at ~38%. Most $1-10M brands we audit sit at 19-24%. ChewHero was at 19% in Jan — we got them to 34% in 5 months by rebuilding the post-purchase + replenishment flows. If you want the 1-page audit that diagnoses where your repeat gap is, reply 'audit' and I'll send it. — [Name]'

Touch 2 (LinkedIn connect): 'Hi [First] — sent you a note re: pet DTC repeat-rev benchmarks. Connecting in case email gets buried.'

Touch 3 (email):
Subj: ChewHero repeat-rev case study
'Quick 1-pager: ChewHero 19% -> 34% repeat revenue in 5 months. 3 flow rebuilds, no new acquisition spend. Worth 15 min to see if your numbers look the same?'

Touch 4 (breakup):
Subj: closing the loop
'No reply = wrong time or wrong fit. Closing this out — happy to circle back in Q3.'

Objections: 'have an agency' -> 'fine — happy to share the audit framework for your team'. 'no budget' -> 'our pilot is $3k for 30 days'. 'send info' -> 'sending — and a 15-min slot if you want to walk through it'.

First 3 named: ChewBrand, PawCo, RuffMail.
Kill switch: <3% reply or 0 meetings in 4 weeks = rework subject + offer.

• Open with a vertical-specific number, not a compliment — numbers signal you're an insider, compliments signal you're a salesperson.
• Use a named case study (with permission) in touch 3 — generic 'a client of ours' lowers reply rates significantly.
• Hold the sequence to plain text, no images, one CTA — anything fancier looks like spam in a founder's inbox.