According to the PMBOK guide, one of the principles of agile project management is to empower the team to self-organize and make decisions about how to best accomplish their work. Self-organizing teams are more likely to be motivated, creative, and productive, as they have a sense of ownership and autonomy over their work. Self-organizing teams also have the ability to inspect and adapt their processes and practices based on feedback and learning. Therefore, when a team faces recurring issues, the project lead should not intervene or impose solutions, but rather facilitate the team's reflection and improvement. The project lead can use techniques such as retrospectives, which are meetings where the team reviews their performance and identifies what went well, what did not go well, and what actions they can take to improve. The project lead can also help the team to update their team working agreement, which is a document that defines the team's norms, values, and expectations. A team working agreement can help the team to align on their goals, roles, responsibilities, and communication methods, as well as to resolve conflicts and issues. The project lead should not notify senior management, challenge the team, or post the agreements, as these actions may undermine the team's trust, autonomy, and accountability. References:
PMBOK guide, page 18, section 1.2.3, Agile Considerations in Project Management PMBOK guide, page 437, section 11.2.2.3, Meetings Creating a Team Working Agreement

In a project, when a task appears to be behind schedule and the team member responsible for it claims it was completed and reported to the team lead, it indicates a communication or reporting issue1. The project manager should review this issue with the team lead to understand the situation and find possible ways to resolve it1. This could involve clarifying the reporting process, ensuring that all task completions are properly documented, and that updates are communicated effectively to all relevant parties2. It's important to address such issues promptly to prevent miscommunications and ensure that the project stays on track1. References: 8 Steps for Better Issue Management - ProjectManager, 5 Challenges with Project Reporting and How to Address Them

For a long-term project spanning over several years, it's crucial to include projected inflation rates in the budget estimate1. Inflation can significantly impact the cost of resources over time, and not accounting for it can lead to underestimation of the project's overall cost2. Therefore, to provide a realistic and accurate budget estimate, the project manager should consider the impact of inflation on project costs3. This approach will help ensure that the budget is sufficient to cover the project's needs over its entire duration123. References: ProjectManager, Forecast.app, TeamGantt