"Deep state" is a conspiracy theorist level term for some underground, underhanded Hoover/FBI style group that doesn't exist or is really just career officials, most of whom have left the administration especially the state department. This has left a massive shortage in expertise and qualified or cleared workers slowing down how the government can handle ongoing processes/projects and new issues like the many foreign policy blunders and embarrassments Trump and his often unqualified appointees have made.
The trade war is one such blunder that no responsible and informed person thought would do any good long term but was spun as a hard core negotiation tactic. Tariffs are import taxes charged mostly to residents and businesses in the home country or passed to the consumer by the importing firm. This short term harms everyone but could be the straw that pushes a close deal to be ratified. Unfortunately, we didn't have a close deal beyond the TPP and this wasn't a cooperative negotiation but one of necessity framed as USA vs China.
It was never a smart move and was recommended against by nearly all experts or those with experience in the matter and we have reached the logical conclusion of such policies to find that there is no deep state outside of conspiracy forums and our economic outlook and foreign policy is a dumpster fire as Trump is not rational but likely narcissistic and mislead or misinformed by his staff to ignore reality such as the looming economic crisis.