Do you mean keeping things responsive for your users because you're using Service Desk, or getting support from Atlassian when you have issues with JIRA?
Support from Atlassian, we need to talk to someone to determine if this product is a good fit for our needs.
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That's more of a "sales" call, than support. Atlassian support only really kicks in when you have already bought a product.
On top of that, Atlassian don't really have a sales team that will try the hard sell and tell you that you can do everything you need with JSD. They tend to rely on partners, experts, word of mouth, user experience and trials.
I'd recommend a mix of:
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