Also to add on the "how to", the first challenge is getting everyone together. As a minimum you need engineering, operations and Technical (presumably you?) But I'd encourage HR, procurement, any NPD or process functions and ideally someone senior enough for resources and junior enough to know reality. That might in practice mean two ops people.
Simply don't progress with the meeting if people don't turn up, it's non negotiable.
If your team members haven't had training to at least level 2 or equivalent, then I'd arrange that.
Apart from that you might want to give them some pre work for the review, for example, while it's good to practically review the flow diagram together, you could do so independently. Or to review the hazard analysis.
Most standards say you need to review the HACCP plan yearly and I'd make every meeting "count" as though that is a full review but we all know it's BS. Nobody goes through every sentence of their HACCP plan in one meeting and if they say they do, they're lying. Personally I'd rather do a deep dive on one part of the plan and make sure that's really good than half arse it, then choose a different part next time. If you meet more than once a year you might get through the plan that way anyway.
The other thing which is a must is to go through your verification results. Depends what you've chosen but the obvious lagging ones at least. Audit results, complaints, external audits etc. What you're looking for isn't just the tick that you've done it but any signs as to the plan failing. E.g. there have been two findings in external audits and four internally on supplier approval. You might then want an action to deep dive into why and if there are some underlying root causes.
On that, make sure that you're not just sat there as a Technical person giving yourself jobs to do. You all own this plan, you should all have actions. It's not a Technical plan. I'd make the results of the review visible as well to the wider business, e.g. putting the outputs and actions into a weekly management meeting so pressure stays on it for completion.