Heartwarming / Infinite Coffee and Protection Detail

• All the kindness Barnes' mission-assists show him. It starts with their willingness to actually help him with his mission to protect Steve, including spying on him (the Olds relieving Barnes from watching Steve with his scope and mike, JARVIS and Natasha bugging Steve's clothing and items), Clint not outing Barnes to Steve (even though by that point Steve's made the deduction that Barnes was backing him up via sniper fire in fighting HYDRA). This only increases as Barnes readjusts to being a human again and his social circle grows, with people showing him kindness in respecting his boundaries, avenging his enemies, not only accepting him as part of their lives but actively making an effort to include and incorporate him.
• Tony's horror at how much pain the metal arm causes Barnes, since HYDRA didn't exactly have the Asset's comfort in mind when creating and maintaining it. This crosses from Tear Jerker into Heartwarming because Tony is insistent on fixing it and easing Barnes' pain (even though it's partially because it's a shiny toy that Tony wants to tinker with and improve).
• Barnes' heart-to-heart talk with Tony gave him closure on Howard and Maria's death, ensures that Tony is aware Barnes had endured unspeakable horrors in his transformation into the Asset, and clears up any lingering tension between them regarding who is to blame for their suffering: HYDRA and Pierce. Pepper is extremely grateful to Barnes for the talk, given that Tony finally got a good night's sleep afterwards.