The union is taking its grievances directly to UPS shareholders, running as an advertisement an open letter to David Abney, the company’s chief executive officer, ahead of a Thursday shareholders meeting.

The letter, which has been delivered to board members, was signed by nearly 78 % of members of Local 2727 of the Teamsters union, asking the company to maintain air mechanics’ current health plan and not demand other concessions.

“We’re not willing to back off of this and we will strike over it,” said Tim Boyle, the local president.

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Union members will also protest at the UPS shareholders’ meeting on Thursday in Wilmington, Delaware. That will include both protests outside the meeting and, for union members who are also shareholders, questions to company officials inside.

The local plans additional protests on Tuesday in Atlanta, where the company is headquartered.

The union already voted in November to strike, but saw that request denied by federal authorities. The air maintenance workers are governed by the U.S. Railway Labor Act, which only allows strikes after it finds negotiations and mediation have failed.

But if the company does not agree to keep members’ health plans intact at the next bargaining session, on May 11 and May 12, Boyle said the union would ask again for permission to strike.

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“If the company doesn’t back off we’ll submit another request to the mediator to be released” to strike, Boyle said.

Even if the board grants permission, though, a strike would take at least another 30 days because of other procedural hurdles.

A strike could ground the package delivery company’s airplanes and disrupt packages sent by air, even as UPS and its rivals grapple with higher costs for surging e-commerce business.