Switching to a flow-based methodology
The first thing to consider is transitioning the way developers work from batch-wise to flow-based. An example of a batch-wise way of working is Scrum. If you are using the Scrum framework, you are used to picking up a batch of work every two to four weeks and focus on completing all of that work within that time window. Only when that batch is done do you deliver a potentially shippable product.
When changing to a flow-based approach, you try to focus not on a batch, but on just one thing only. You work on that one work item and drive it completely until it's done before you start on the next. This way, there is no longer a sprint backlog, only a product backlog. The advantage of this approach is that you no longer decide which work to perform upfront, but whenever you are free to start on new work, you can pick up the next item from the backlog. In an environment where priorities quickly shift, this allows you to react to change more quickly.
These changes to the way developers organize their work make it easier to include operations in work management, but there is also another benefit. When developers are focusing on getting a single work item done instead of a whole sprint at once, you can also increase the number of times you can deliver a small portion of value to your users.